Analysis, assessment, and data management are core competencies for operation research analysts. This volume addresses a number of issues and developed methods for improving those skills. It is an outgrowth of a conference held in April 2013 at the Hellenic Military Academy, and brings together a broad variety of mathematical methods and theories with several applications. It discusses directions and pursuits of scientists that pertain to engineering sciences. It is also presents the theoretical background required for algorithms and techniques applied to a large variety of concrete problems. A number of open questions as well as new future areas are also highlighted.

This book will appeal to operations research analysts, engineers, community decision makers, academics, the military community, practitioners sharing the current “state-of-the-art,” and analysts from coalition partners. Topics covered include Operations Research, Games and Control Theory, Computational Number Theory and Information Security, Scientific Computing and Applications, Statistical Modeling and Applications, Systems of Monitoring and Spatial Analysis.

“The stated audience for the book includes academicians, decision makers, engineers, experts in the field of operations research, the armed forces, and practitioners. … The book is very specialized and mathematically sophisticated … . A number of practical applications are considered in the book. … The publication of the book is timely and the topics in the book are of current interest. … I strongly recommend this book for its intended audience.” (S. V. Nagaraj, Computing Reviews, April, 2016)

All Functions $$g: \mathbb{N} \rightarrow \mathbb{N}$$ Which have a Single-Fold Diophantine Representation are Dominated by a Limit-Computable Function $$f: \mathbb{N}\setminus \{0\} \rightarrow \mathbb{N}$$ Which is Implemented in MuPAD and Whose Computability is an Open Problem